Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 5)
5.
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
120 m
240 m
300 m
None of these
Answer: Option
Explanation:

Speed = 54 x 5 m/sec = 15 m/sec.
18

Length of the train = (15 x 20)m = 300 m.

Let the length of the platform be x metres.

Then, x + 300 = 15
36

x + 300 = 540

x = 240 m.

Discussion:
282 comments Page 4 of 29.

Priyanka said:   3 years ago
D = S x T.
D = (54x 5*18) x (36-20).
D = 15 x 16.
D = 240m/s.
(157)

Rejwan Hossain said:   3 years ago
The length of the platform = (speed of train * time taken to pass the platform)/(1 - (time taken to pass the man/time taken to pass the platform))

In this case:
The length of platform = (54 * 36)/(1 - (20 / 36))
= (54*36)/(1-(20/36))
= (1944)/(1-(5/9))
= 1944/(4/9)
= 1944 * (9/4) = 240 meters.
(11)

Dipesh said:   3 years ago
54 * 5/18 = 15m/sec.
20 + 36sec = 56sec,
15 * 56 = 240m.
(61)

Ravi Kumar said:   4 years ago
The length of platform = x + 300/36 = 15 m/s.

Can someone explain why we write the 15 m/s on R.H.S of the equation?

I really could not understand. If someone knows then please help me.
(5)

Anusha said:   4 years ago
Speed = l + b (length of train +platforn).
Speed of train = 54*5/18 = 15.
speed = d/t -----> d = s*t.
d = 15*36-20 (time of train - time of man).
d = 240m.
(18)

Noradavis said:   4 years ago
@All.

Since the train is moving toward the man you can do 36-20 seconds = 16 seconds.
(8)

Sridhar said:   4 years ago
Speed = 15mtr/hr.
15*20 = 15 * 36,
300 = 540.
= 540 - 300.
Length = 240.
(11)

Shobanraj said:   4 years ago
As we know Distance = Speed x Time.

Let's find the length of the train --> to find the distance of a train we have to multiply the speed of the train by the time taken by the train to cross a man or pole. so it comes like 15 x 20 = 300 meters.

So, the length of the train is 300 meters

Now when we multiply the train speed with the time taken to cross the platform..... we get the whole length of the train and also the platform length. LIKE --> 15 x 36 = 540 meters .

Now, this length is the whole length of the platform and the train.

To find the platform length subtract the train length that we found out with the whole length
300 - 540 = 240.

240 is the length of the platform.
(8)

Kratika said:   5 years ago
Why didn't we added the length of the man? Please explain.
(3)

Virender Singh said:   5 years ago
Answer 240m is possible only if the man is standing at the end of the station.

Am I right or wrong? Please anyone clarify.
(6)


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